I would like to start off with the Nikon lenses that will autofocus on these bodies:

All Nikon lenses with the designation DX (except for the 10.5mm fisheye)

All Nikon lenses with the designation AF-s

When it comes to third party lenses, Sigma, Tamron and Tokina, it becomes more difficult to find out which lens will, and which lens won't autofocus. Sigma does have the HSM (Hypersonic motor) which is similar to Nikon's SWM (Silent wave motor - designated by AF-s in the lens name). But apart from the HSM featured lenses, you will have to look at the product descriptions and look if it says anywhere that it has a built-in motor in the Nikon version of the lens.
Tamron has more lenses like that (only built-in motor no designation), but you can see if the lens has a built-in motor if the productnumber has the addition of -II, for instance: Model A17NII for the AF 70-300mm f/4-5.6 Di LD Macro 1:2.

TokinaTokina has only one lens at the moment that will autofocus on these bodies, the super wide-angle AF 12-24mm f/4.0 PRO DX-II, make sure it has the -II added to the name when buying, or look for the red stripe on the badge.